Pith Number

pith:UAGJEPGM

pith:2009:UAGJEPGMLJTKVYBGQ5MJBCGDFM

not attested not anchored not stored refs pending

Random induced subgraphs of Cayley graphs induced by transpositions

Christian M. Reidys, Emma Y. Jin

arxiv:0909.4037 v2 · 2009-09-22 · math.PR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UAGJEPGMLJTKVYBGQ5MJBCGDFM}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:17:25.227618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a00c923ccc5a66aae02687589088c32b0e9f775cd1865f5a534b545d27ac2ff1

Aliases

arxiv: 0909.4037 · arxiv_version: 0909.4037v2 · doi: 10.48550/arxiv.0909.4037 · pith_short_12: UAGJEPGMLJTK · pith_short_16: UAGJEPGMLJTKVYBG · pith_short_8: UAGJEPGM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/UAGJEPGMLJTKVYBGQ5MJBCGDFM \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a00c923ccc5a66aae02687589088c32b0e9f775cd1865f5a534b545d27ac2ff1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f089bc938e13971c69d8c1ae53403ce55a1a8efbf9dfdc4e0e7819889c50223",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-09-22T16:40:00Z",
    "title_canon_sha256": "800bc37eceb720a19ca64f1da085f9f2683b7821908a75f15c3051c91ce260c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4037",
    "kind": "arxiv",
    "version": 2
  }
}